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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Druckformat: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.2018024467
pages 425-438

HALL CURRENT EFFECTS ON HYDROMAGNETIC FLOW THROUGH UNIFORM CHANNEL BOUNDED BY POROUS MEDIA

K. Ramakrishnan
Department of Mathematics, Karpagam College of Engineering, Othakkal Mandapam, Coimbatore - 641 032, Tamilnadu, India

ABSTRAKT

The steady, laminar, viscous, electrically conducting hydromagnetic flow through a channel of uniform width covered by porous media of infinite thickness is studied with Hall effects. The fluid is acted upon by the constant pressure gradient and a uniform magnetic field is applied in the direction perpendicular to the motion of the fluid. Closed form solution is obtained for the governing equations using Beavers–Joseph slip condition. Profiles of primary and secondary velocities and shear stress have been computed for different values of porous parameter, Darcy velocity, slip parameter, Hartmann number, and Hall parameter. It is observed that the porous parameter, slip parameter, and Hartmann number produce a retarding effect on both the primary and secondary velocities. The Hall parameter has an accelerating effect on both the velocities. It is noticed that the components of shear stress decreased in magnitude when the Hartmann number increases. It is also observed that the value of shear stress due to primary and secondary flows increases in magnitude when the Hall parameter and slip parameter increase.


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